Is there a difference between the input paramaters of numpy.random.choice and random.choice?

Well np.random.choice as noted in the docs, expects a 1D array and your input when expressed as an array would be 2D. So, it won't work simply like that.

To make it work, we can feed in the length of the input and let it select one index, which when indexed into the input would be the equivalent one from random.choice, as shown below -

out = a[np.random.choice(len(a))] # a is input

Sample run -

In [74]: a = [(1,2),(4,3),(6,9)]

In [75]: a[np.random.choice(len(a))]
Out[75]: (6, 9)

In [76]: a[np.random.choice(len(a))]
Out[76]: (1, 2)

Alternatively, we can convert the input to a 1D array of object dtype and that would allow us to directly use np.random.choice, as shown below -

In [131]: a0 = np.empty(len(a),dtype=object)

In [132]: a0[:] = a

In [133]: a0.shape
Out[133]: (3,)  # 1D array

In [134]: np.random.choice(a0)
Out[134]: (6, 9)

In [135]: np.random.choice(a0)
Out[135]: (4, 3)

Relatedly, if you want to randomly sample rows of a 2D matrix like this

x = np.array([[1, 100], [2, 200], [3, 300], [4, 400]])

then you can do something like this:

n_rows = x.shape[0]
x[np.random.choice(n_rows, size=n_rows, replace=True), :]

Should work for a 2D matrix with any number of columns, and you can of course sample however many times you want with the size kwarg, etc.